66222164542464 has 1056 divisors, whose sum is σ = 231840795303936. Its totient is φ = 18488137973760.

The previous prime is 66222164542427. The next prime is 66222164542483. The reversal of 66222164542464 is 46424546122266.

66222164542464 is a `hidden beast` number, since 6 + 6 + 2 + 22 + 16 + 4 + 542 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 66222164542464.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25017816789 + ... + 25017819435.

Almost surely, 2^{66222164542464} is an apocalyptic number.

66222164542464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66222164542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115920397651968).

66222164542464 is an abundant number, since it is smaller than the sum of its proper divisors (165618630761472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66222164542464 is a wasteful number, since it uses less digits than its factorization.

66222164542464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 2983 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 54.

The spelling of 66222164542464 in words is "sixty-six trillion, two hundred twenty-two billion, one hundred sixty-four million, five hundred forty-two thousand, four hundred sixty-four".